Falcons general manager Thomas Dimitroff confirmed that the two teams has asked for permission to interview Mularkey.

"The Denver Broncos and Cleveland Browns have requested permission to speak with offensive coordinator Mike Mularkey for their vacant head-coaching positions. The Falcons have granted permission to Mike to interview for the jobs later this week," he said. The Broncos announced via its official Twitter account Tuesday that Mularkey would be interviewed Friday in Atlanta. The Falcons are off this week after earning a first-round bye in the playoffs.

Mularkey was head coach in Buffalo from 2004-’05 and has been with the Falcons since 2008.

John Elway will be introduced as the Broncos’ new chief football executive this week, and he’ll interview Denver interim coach Eric Studesville for the full-time job next week.

Studesville was promoted from running backs coach when Josh McDaniels was fired a month ago.

Mularkey joins two other candidates being considered for the Browns’ vacancy.

The Browns, who also will interview New York Giants defensive coordinator Perry Fewell, asked for and received permission to interview St. Louis Rams offensive coordinator Pat Shurmur for opening, a team source told ESPN NFL Insider Adam Schefter.

Information from The Associated Press and ESPN.com’s Pat Yasinskas was used in this report.